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Geometry Unit 3 Practice Test Good Luck! Name:________________________ Period_______________________ Date:________________________ Match the definition with its term. ____1. Coplanar lines that do not intersect. a. Skew Lines ____2. A line that intersects two or more coplanar lines. b. Interior Angles ____3. Angle pairs created between two lines cut by a transversal. c. Alternate Angles ____4. Angle pairs on opposite sides of the Transversal. d. Transversal ____5. Non-coplanar lines that do not intersect. e. Parallel lines 6. Identify the type of special angle pair from the figure: t 1 a) 2 b) angles 4 and 6:_______________ 4 3 c) angles 1 and 5:_______________ 6 5 m 7 n angles 2 and 7:_______________ 8 d) angles 3 and 6:___________________ Geometry Unit 3 Practice Test Page 2 7. To construct a line perpendicular to AB through point C not on the line using a compass and straight edge explain what is being done at each of the steps below: D E B A C a) F D E B A C b) F D E B A C c) Geometry Unit 3 Practice Test Page 3 Using the given information, find the measure of the requested numbered angles. 1 m 2 4 3 5 6 8 7 n t 8. m∠1 = 53°. Find m∠ 3 and m∠7. 9. m∠5 = x+1; m∠2=x+30. Find x, m∠6, and m∠4. Using the diagram above and the given information complete the following proof: Given: ∠4 and ∠5 are supplementary. Prove: m∥n Statements ∠4 and ∠5 are supplementary. m∠4+m∠5=180° m∠4+m∠1=180° m∠4+m∠5= m∠4+m∠1 m∠1=m∠5 (∠1≅∠5) m∥n Reasons 10. 11. 12. 13. 14. 15. Geometry Unit 3 Practice Test Page 4 Choose if the following line pairs are perpendicular (⊥), parallel (∥) or neither. 16. x = -5 Y = -5 17. y = ½x + 5 4y –2x = 24 18. 3x+5y = 8 19. 2x-y=8 1 y x 11 3 5y+3y = 15 20. a) Find the slope of AB with points A(1, -4) and B(3,2) b) Write the equation of this line in slope intercept form. c) Write an equation of the line that is parallel to this line. 21. In the figure below what measure of FGH 41°. 2 x 15 l F G m 41° H What value of x would make line l parallel to line m? a) 58 b) 77 c) 103 d) 32